Problem 2: A tall, cylindrical chimney is toppling over as its base has ruptured. Let us say that the heightH of the chimney is significantly larger than its thickness, so we may treat the chimney as a thin, rigid rodof length H. At the instant when the chimney is at angle 00 with respect to the vertical, what is the: \text { (a) angular speed } \omega \text { of the top of the chimney? (3 pt) } \text { (b) radial component } a \text {, of the acceleration of the top? ( } 2 \mathrm{pt} \text { ) } \text { (c) tangential component } a_{t} \text { of the acceleration of the top? ( } 3 \mathrm{pt} \text { ) } \text { (d) the specific value of } \theta_{0} \text { at which } a_{t} \text { is equal to } g \text { ? (2 pt) }